AnswersPA-Geometry B-CRReciprocal Trigonometric Functions

Reciprocal Trigonometric Functions Answers

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1
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Which function is undefined when radians?

Question illustration
A
cos
Option A
B
cot
Option B
C
csc
Option C
D
tan
Option D
2
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What is the exact value of ?

Question illustration
A
Negative StartRoot 3 EndRoot
Option A
B
Negative StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option B
C
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option C
D
StartRoot 3 EndRoot
Option D
3

If , what is the approximate value of csc ?

Question illustration
A
0.5559
B
1.3090
C
3.2362
D
10.4733
4

What is the value of sec in the triangle below?

Question illustration
A
StartFraction 9 Over 41 EndFraction
Option A
B
StartFraction 9 Over 40 EndFraction
Option B
C
StartFraction 41 Over 40 EndFraction
Option C
D
StartFraction 41 Over 9 EndFraction
Option D
5

Which of the following is a simpler form of the expression ?

Question illustration
A
sec
Option A
B
cos
Option B
C
csc
Option C
D
tan
Option D
6

What is the exact value of cos(–60º)?

A
Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option A
B
Negative one-half
Option B
C
One-half
Option C
D
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Option D
7

Which of the following is a simpler way to write ?

Question illustration
A
tan
Option A
B
sec
Option B
C
csc
Option C
D
cot
Option D
8

In , , , and . Which ratios are correct?

Question illustration
A
, , and
Option A
B
, , and
Option B
C
, , and
Option C
D
, , and
Option D
9

If tan = , what is the value of cot ?

Question illustration
A
StartFraction 1 Over 60 EndFraction
Option A
B
StartFraction 1 Over 11 EndFraction
Option B
C
StartFraction 60 Over 11 EndFraction
Option C
D
StartFraction 61 Over 11 EndFraction
Option D
10

What is the exact value of tan(300º)?

A
Negative StartRoot 3 EndRoot
Option A
B
Negative StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option B
C
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Option C
D
StartRoot 3 EndRoot
Option D
11

Which equation finds the value of x in the triangle below?

Question illustration
A
Cotangent 70 degrees = StartFraction x Over 12 EndFraction
Option A
B
Cotangent 70 degrees = StartFraction 12 Over x EndFraction
Option B
C
Secant 20 degrees = StartFraction x Over 12 EndFraction
Option C
D
Secant 20 degrees = StartFraction 12 Over x EndFraction
Option D
12

Four students wrote statements about cosecant, secant, and cotangent values as shown below.AnikThe cosecant, secant, and cotangent of an acute angle may be greater than 1 or less than 1.IsabellaThe cosecant, secant, and cotangent of an acute angle are always greater than 1.KaylaThe cosecant and secant of an acute angle are always greater than 1, but the cotangent can be greater than 1, less than 1 or equal to 1.MorrisThe cosecant and secant of an acute angle may be greater than or equal to 1, but the cotangent of an acute angle is always less than 1.Which student is correct?

A
Anik
B
Isabella
C
Kayla
D
Morris
13

Which results from multiplying the six trigonometric functions?

A
–3
B
–1
C
1
D
3

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